Angular material create dialog box in same component as existing functionality

Update: I was not correct in my assumptions that the TemplateRef's type parameter was the component reference - in fact, it's actually the "data-binding context of the embedded view", as shown in the documentation for the TemplateRef#createEmbeddedView method:

abstract createEmbeddedView(context: C): EmbeddedViewRef<C>

Description:

Instantiates an embedded view based on this template, and attaches it to the view container.

Parameters:

context (type: C) The data-binding context of the embedded view, as declared in the usage.

---

You can pass in a template reference to MatDialog#open:

<ng-template #callAPIDialog>
    <h2 matDialogTitle>Hello dialog!</h2>
    <mat-dialog-actions align="end">
        <button mat-button matDialogClose="no">No</button>
        <button mat-button matDialogClose="yes">Yes</button>
    </mat-dialog-actions>
</ng-template>

import { TemplateRef, ViewChild } from '@angular/core';
import { MatDialog } from '@angular/material';

@Component({ /* */ })
export class MyComponent {

    @ViewChild('callAPIDialog') callAPIDialog: TemplateRef<any>;

    constructor(private dialog: MatDialog) { }

    callAPI() {
        let dialogRef = this.dialog.open(this.callAPIDialog);
        dialogRef.afterClosed().subscribe(result => {
            // Note: If the user clicks outside the dialog or presses the escape key, there'll be no result
            if (result !== undefined) {
                if (result === 'yes') {
                    // TODO: Replace the following line with your code.
                    console.log('User clicked yes.');
                } else if (result === 'no') {
                    // TODO: Replace the following line with your code.
                    console.log('User clicked no.');
                }
            }
        })
    }

Initially I tried what Edric suggested and the dialog opened perfectly but I was kinda lost when I wanted to close it from the component after some processing and not just with the template directive matDialogClose. So I conducted a search on this topic and it took me a while to join all the pieces and figure out that the template reference is something different than the dialog reference of that piece of template. So hands on work putting it all together...

<!-- Edit Company -->
<ng-template #editCompanyModal>
  <div class="mat-dialog-header border-bottom">
    <h2 mat-dialog-title class="mb-0">Edit Company</h2>
    <div fxLayout="row" fxLayoutAlign="start center" fxLayoutGap="12px">
      <button mat-icon-button matDialogClose tabindex="-1">
        <mat-icon aria-label="Close dialog">close</mat-icon>
      </button>
    </div>
  </div>
  <form #editCompanyForm="ngForm" role="form" novalidate name="editCompanyForm"
          (ngSubmit)="editCompanyFormSubmit(editCompanyForm)">
    <mat-dialog-content>
      <fieldset>
        ...
      </fieldset>
    </mat-dialog-content>
    <mat-dialog-actions class="border-top">
      <button type="button" mat-button matDialogClose>Cancel</button>
      <button type="submit" mat-raised-button color="accent"
              [disabled]="!editCompanyForm.valid">Save changes</button>
    </mat-dialog-actions>
  </form>
</ng-template>

@Component({
  ...
})
export class AccountCompanyComponent {

  @ViewChild('editCompanyModal') editCompanyModal: TemplateRef<any>;
  private editCompanyDialogRef: MatDialogRef<TemplateRef<any>>;

  constructor(public dialog: MatDialog) {}

  // Dialog handling

  openCompanyDetailsDialog(): void {
    const dialogConfig = new MatDialogConfig();
    dialogConfig.restoreFocus = false;
    dialogConfig.autoFocus = false;
    dialogConfig.role = 'dialog';

    this.editCompanyDialogRef = this.dialog.open(this.editCompanyModal, dialogConfig);

    this.editCompanyDialogRef.afterClosed().subscribe(result => {
      consoleOut('The dialog was closed...');
    });
  }

  closeCompanyDetailsDialog() {
    this.editCompanyDialogRef.close();
  }

  editCompanyFormSubmit(form: NgForm) {
    if (!form.valid) {
      return false;
    }
    // Save company data
  }